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Finding the Fourth Proportional to 14,596.88, 20,143.76 and 8,309.25

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Solution

The fourth proportional to 14,596.88, 20,143.76 and 8,309.25 is: 11,466.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,596.88 : 20,143.76 = 8,309.25 : x
  2. Step 2: Convert to fraction form
    14,596.88/20,143.76 = 8,309.25/x
  3. Step 3: Cross multiply
    14,596.88x = 20,143.76 × 8,309.25
  4. Step 4: Simplify right side
    14,596.88x = 167,379,496.23
  5. Step 5: Solve for x
    x = 167,379,496.23/14,596.88
  6. Step 6: Final answer
    x = 11,466.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.